Least Common Multiple of 632/614, 8199/9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 632/614, 8199/9600 quickly i.e. 2590884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/614, 8199/9600 is 2590884.

LCM(632/614, 8199/9600) = 2590884

LCM of 632/614, 8199/9600

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 632/614,8199/9600

Given numbers are 632/614,8199/9600

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 632,8199

Least Common Multiple of Numerators i.e. LCM of 632,8199 is 5181768.

GCF of Denominators means GCF of 614,9600 as per the given fractions.

GCF of 614,9600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,8199

LCM of Fractions 632/614,8199/9600 is 2590884

Given numbers has no common factors except 1. So, there LCM is their product i.e 5181768

Least Common Multiple of 632,8199 with GCF Formula

Least Common Multiple of 632,8199 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 632,8199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,8199) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(632,8199) x common factors =1 x 1 = 1

LCM(632,8199) = ( 632 × 8199 ) / 1

LCM(632,8199) = 5181768 / 1

LCM(632,8199) = 5181768


Lets's calculate GCF of 614,9600

2 614, 9600
307, 4800

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5181768/2

Therefore the LCM of Fractions 632/614,8199/9600 is 2590884

Greatest Common Factor of 614,9600 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,9600 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Greatest Common Factor

We found the factors 614,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 614,9600 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 632/614, 8199/9600

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 632/614, 8199/9600?

Answer: LCM of Numerators as per given numbers 632/614, 8199/9600 is

LCM of Numerators i.e. for 632,8199 is 5181768

GCF of denominators i.e. for 614,9600 is 2.

Thus, LCM of Fractions is 2590884.Finally, LCM of Fractions for 632/614, 8199/9600 is 2590884.